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The same term can also be used more informally to refer to something "standard" or "classic". For example, one might say that Euclid's proof is the "canonical proof" of the infinitude of primes. There are two canonical proofs that are always used to show non-mathematicians what a mathematical proof is like:
For example: "All humans are mortal, and Socrates is a human. ∴ Socrates is mortal." ∵ Abbreviation of "because" or "since". Placed between two assertions, it means that the first one is implied by the second one. For example: "11 is prime ∵ it has no positive integer factors other than itself and one." ∋ 1. Abbreviation of "such that".
A – adele ring or algebraic numbers. a.a.s. – asymptotically almost surely. AC – Axiom of Choice, [1] or set of absolutely continuous functions. a.c. – absolutely continuous. acrd – inverse chord function. ad – adjoint representation (or adjoint action) of a Lie group. adj – adjugate of a matrix. a.e. – almost everywhere.
A linear algebraic group defined over a field is a torus if only if its base change ¯ to an algebraic closure ¯ is isomorphic to a product of multiplicative groups , ¯. G {\displaystyle G} is a split torus if and only if it is isomorphic to G m , k n {\displaystyle G_{m,k}^{n}} without any base change.
An informal phrase but usually means taking a quotient; e.g., a cone is obtained by collapsing the top (or bottom) of a cylinder. completion complex bordism complex-oriented A multiplicative cohomology theory E is complex-oriented if the restriction map E 2 (CP ∞) → E 2 (CP 1) is surjective. concordant cone
Some words or phrases might be out of bounds for you or your partner, and it’s both of your jobs to know what they are. They might say, “When partners call me a b*tch, it’s not really a turn ...
An algebraic manifold is a cycle of projective space, in other words a formal linear combination of irreducible subvarieties. Algebraic manifolds may have singularities, so their underlying topological spaces need not be manifolds in the sense of differential topology. Semple & Roth (1949, p.14–15) meet The meet of two sets is their intersection.
(Reuters) - China warned on Thursday it would take "necessary actions" to protect Chinese firms if the U.S. escalated chip control measures, following reports that the Biden administration could ...